Consider the following system of linear equations, 3x3 + X4 -1 2x3 + 2x4 = 7 5x3 + 3x4 = 6 X2 5x3+4x4 = -3 Use Gauss Elimination method to show that the above system has infinite number of solutions (there are free variables) and hence find that solution in parametric form. (Hint: 2x1 + X1 3x1 -2x1 X2 + 2x₂ + 3x₂ - - - 1- Write the system in matrix form (Ax = b) 2- Write the augmented matrix 11
Consider the following system of linear equations, 3x3 + X4 -1 2x3 + 2x4 = 7 5x3 + 3x4 = 6 X2 5x3+4x4 = -3 Use Gauss Elimination method to show that the above system has infinite number of solutions (there are free variables) and hence find that solution in parametric form. (Hint: 2x1 + X1 3x1 -2x1 X2 + 2x₂ + 3x₂ - - - 1- Write the system in matrix form (Ax = b) 2- Write the augmented matrix 11
Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.2: Direct Methods For Solving Linear Systems
Problem 4CEXP
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